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Finding the Third Proportional to 125,938 and 195,007

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Solution

The third proportional to 125,938 and 195,007 is: 301,955.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,938 : 195,007 = 195,007 : x
  2. Step 2: Convert to fraction form
    125,938/195,007 = 195,007/x
  3. Step 3: Cross multiply
    125,938x = 195,007 × 195,007
  4. Step 4: Simplify right side
    125,938x = 38,027,730,049
  5. Step 5: Solve for x
    x = 38,027,730,049/125,938
  6. Step 6: Final answer
    x = 301,955.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.